Simple Browser : Welcome guest : log in
Home |  Graph |  ]  KB:  Language:   

Formal Language: 



KB Term: 

  EquivalenceRelation

Sigma KEE - EquivalenceRelation
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
EquivalenceRelation
A BinaryRelation is an equivalence relation if it is a ReflexiveRelation, a SymmetricRelation, and a TransitiveRelation.
Relationships      
Parents ReflexiveRelation Relation ?REL is reflexive iff (?REL ?INST ?INST) for all ?INST.
  SymmetricRelation A BinaryRelation ?REL is symmetric just iff (?REL ?INST1 ?INST2) imples (?REL ?INST2 ?INST1), for all ?INST1 and ?INST2.
  TransitiveRelation A BinaryRelation ?REL is transitive if (?REL ?INST1 ?INST2) and (?REL ?INST2 ?INST3) imply (?REL ?INST1 ?INST3), for all ?INST1, ?INST2, and ?INST3.


Show full definition (without tree view)
Show full definition (with tree view)

Show without tree


Sigma web home      Suggested Upper Merged Ontology (SUMO) web home
Sigma version 3.0 is open source software produced by Articulate Software and its partners